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# How many factors of 2 are in the prime factorization of 448?

Updated: 12/11/2022

Wiki User

14y ago

448 / 2
224 / 2
112 / 2
56 / 2
28 / 2
14 / 2
7

26*7 = 448

Wiki User

14y ago

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Q: How many factors of 2 are in the prime factorization of 448?
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### What is the correct prime factor of 448?

As a product of its prime factors in exponents: 26*7 = 448

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The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, and 448. The prime factors of are 2 x 2 x 2 x 2 x 2 x 2 x 7.

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1344 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 28 factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, and 1344.The proper factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, and 672 or,if the definition you are using excludes 1, they are 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, and 672.The prime factors of 1344 are 2, 2, 2, 2, 2, 2, 3, and 7. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The 3 distinct prime factors (listing each prime factor only once) of 1344 are 2, 3, and 7.The prime factorization of 1344 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 or, in index form (in other words, using exponents), 26 x 3 x 7.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

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480 240,2 120,2,2 60,2,2,2 30,2,2,2,2 15,2,2,2,2,2 5,3,2,2,2,2,2

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factors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896prime factors: 2, 2, 2, 2, 2, 2, 2, 7

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